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Employee Stock Purchase and Stock Incentive Plans - Information Regarding Stock Option Plans (Details) - $ / shares
12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
At fiscal year end:      
Range of exercise prices for options outstanding, minimum (in dollars per share) $ 5.64 $ 37.03 $ 32.51
Range of exercise prices for options outstanding, maximum (in dollars per share) $ 60.43 $ 60.43 $ 60.43
Number of options exercisable (in shares) 367,624 573,984 706,489
For the fiscal year:      
Range of prices relating to options exercised, minimum (in dollars per share) $ 11.27 $ 32.51 $ 37.03
Range of prices relating to options exercised, maximum (in dollars per share) $ 60.43 $ 60.43 $ 60.08